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<strong>Document</strong><br />

Page 101<br />

To save notation, let's normalize the distance between the two locations to 1. Then we immediately find<br />

from (15)–(18) that<br />

and, substituting, that<br />

and<br />

The condition for sustainability of concentrated manufacturing, then, is that the right-hand side of (21)<br />

be less than one.<br />

In the intuitive discussion of agglomeration in the first part of this appendix, it was argued that<br />

agglomeration is possible because of the circular relationship between the location of the market and the<br />

location of manufacturing. We can see this intuition borne out in this model by considering what would<br />

happen if manufacturing were a very small part of the economy, close to zero. Then (21) would reduce<br />

to<br />

which is always less than one because of Jensen's inequality. In this case, in which firms sold only to<br />

the agricultural market, it would always be advantageous to move away from any concentration of<br />

manufacturing in order to get away from <strong>com</strong>petitors.<br />

<strong>file</strong>:///<strong>D|</strong>/Export3/<strong>www</strong>.<strong>netlibrary</strong>.<strong>com</strong>/<strong>nlreader</strong>/<strong>nlreader</strong>.<strong>dll</strong>@bookid=409&<strong>file</strong>name=page_101.html [4/18/2007 10:31:51 AM]

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